Least Common Multiple of 1789/997, 4321/4476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1789/997, 4321/4476 quickly i.e. 7730269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1789/997, 4321/4476 is 7730269.

LCM(1789/997, 4321/4476) = 7730269

LCM of 1789/997, 4321/4476

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1789/997,4321/4476

Given numbers are 1789/997,4321/4476

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1789,4321

Least Common Multiple of Numerators i.e. LCM of 1789,4321 is 7730269.

GCF of Denominators means GCF of 997,4476 as per the given fractions.

GCF of 997,4476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1789,4321

LCM of Fractions 1789/997,4321/4476 is 7730269

Given numbers has no common factors except 1. So, there LCM is their product i.e 7730269

Least Common Multiple of 1789,4321 with GCF Formula

Least Common Multiple of 1789,4321 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1789,4321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1789,4321) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1789,4321) x common factors =1 x 1 = 1

LCM(1789,4321) = ( 1789 × 4321 ) / 1

LCM(1789,4321) = 7730269 / 1

LCM(1789,4321) = 7730269


Lets's calculate GCF of 997,4476

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7730269/1

Therefore the LCM of Fractions 1789/997,4321/4476 is 7730269

Greatest Common Factor of 997,4476 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,4476 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1,2,3,4,6,12,373,746,1119,1492,2238,4476

Greatest Common Factor

We found the factors 997,4476 . The biggest common factor number is the GCF number.
So the greatest common factor 997,4476 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1789/997, 4321/4476

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1789/997, 4321/4476?

Answer: LCM of Numerators as per given numbers 1789/997, 4321/4476 is

LCM of Numerators i.e. for 1789,4321 is 7730269

GCF of denominators i.e. for 997,4476 is 1.

Thus, LCM of Fractions is 7730269.Finally, LCM of Fractions for 1789/997, 4321/4476 is 7730269.